Gwyneth Paltrow, who’s been shopping for a music deal, is in advanced talks with Atlantic Records, Page Six has learned. The Oscar-winning actress is poised to sign a contract with the Warner Music-owned label to produce a country album following her starring role in “Country Strong.”

Paltrow, 38, is married to Chris Martin, lead singer of Coldplay, which is signed to EMI. She recently showed off her singing skills on “Glee,” at the Country Music Awards, the Grammys — where she writhed in a tight, black body suit on a baby grand piano to perform “Forget You” with Cee Lo — and at the Oscars, where she performed the nominated song “Coming Home.”

A source told us, “Gwyneth’s agents have been talking to a number of labels about landing her a substantial record deal. Those who have heard the music say it’s country pop. Many labels would be reluctant to give a deal to a star whose first priority is film, but in recent weeks there have been discussions with Atlantic. Gwyneth is a very different name for Atlantic, and one who brings a lot of recognition.” Its roster includes Sean Paul, B.o.B, T.I., James Blunt, Janelle Monae, Zero 7, Phil Collins and Kid Rock.

Paltrow recently said she was discussing possible contracts with several labels, and said on the Oscars red carpet, “We’re talking about it now. So we’ll see.”

She also reprises her role on “Glee” as substitute teacher Holly Holiday tomorrow, saying she accepted the part because: “I thought, ‘How much fun it would it be to sing and dance and just be ridiculous and silly?’ I’m just having so much fun. My parts were usually quite serious, and I was looking for something fun and different to do.”

While some music critics were not bowled over by her performances, Gwyneth has big aspirations. She’d like to record with Jay-Z, a close friend of her and Martin. She added during red-carpet interviews, “I think we’d be a good combination.”

Paltrow’s rep didn’t get back to us, and Atlantic declined to comment.